A store is advertising that it offers a 14% discount on everything purchased at the store. When John had paid \(\$670.80\) for his purchase, what was the originally marked price for that article?
Explanation
Let M represent the marked price of the article. Because the store offers a 14% discount, John pays 86% for the article. Thus, the question becomes “86% of the marked price is \( \$670.8\).”
This translates into the equation
\(86\%\times M=670.8\),
or equivalently,
0.86M=670.8
Use a calculator to help divide both sides by 0.86.
M=780
Hence, the original marked price was \(\$780\).
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